Computational Science & Numerical Analysis

Computational science is a key area related to physical mathematics. The problems
of interest in physical mathematics often require computations for their resolution.
Conversely, the development of efficient computational algorithms often requires an
understanding of the basic properties of the solutions to the equations to be solved
numerically. For example, the development of methods for the solution of hyperbolic
equations (e.g. shock capturing methods in, say, gas-dynamics) has been characterized
by a very close interaction between theoretical, computational, experimental
scientists, and engineers.